I agree. Not many do so.
why not use a good pair of headphones as a tool to identify both the strong and the weak elements in one’s speaker-driven system?
I disagree on what is highlighted below, since many headphones are "tuned," most in significant ways ...which necessitates being extremely careful and selective with the headphones chosen for the purposes you state.
But: we also know that headphones solve many of the problems we throw a lot of money at to address in our systems: ...frequency response is flat...